Variational problems with lipschitzian minimizers

F. H. Clarke; P. D. Loewen

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: S6, page 185-209
  • ISSN: 0294-1449

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Clarke, F. H., and Loewen, P. D.. "Variational problems with lipschitzian minimizers." Annales de l'I.H.P. Analyse non linéaire S6 (1989): 185-209. <http://eudml.org/doc/78194>.

@article{Clarke1989,
author = {Clarke, F. H., Loewen, P. D.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {calculus of variation; extremal growth condition; Lipschitzian regularity},
language = {eng},
pages = {185-209},
publisher = {Gauthier-Villars},
title = {Variational problems with lipschitzian minimizers},
url = {http://eudml.org/doc/78194},
volume = {S6},
year = {1989},
}

TY - JOUR
AU - Clarke, F. H.
AU - Loewen, P. D.
TI - Variational problems with lipschitzian minimizers
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - S6
SP - 185
EP - 209
LA - eng
KW - calculus of variation; extremal growth condition; Lipschitzian regularity
UR - http://eudml.org/doc/78194
ER -

References

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  1. [1] L. Cesari, Optimization—Theory and Applications. Springer-Verlag, New York, 1983. Zbl0506.49001MR688142
  2. [2] F.H. Clarke, The Euler-Lagrange differential inclusion. J. Diff. Equations19(1975), pp. 80-90. Zbl0323.49021MR388196
  3. [3] F.H. Clarke, Optimization and Nonsmooth Analysis. WileyInterscience, New York, 1983. Zbl0582.49001MR709590
  4. [4] F.H. Clarke, Hamiltonian analysis of the generalized problem ofBolza. Trans. AMS301 (1987), pp. 385-400. Zbl0621.49011MR879580
  5. [5] F.H. Clarke and P.D. Loewen, An intermediate existence theory in the calculus of variations. Technical report CRM-1418, C. R. M., Univ. de Montreal, C. P. 6128- A, Montreal, Canada, H3C 3J7. 
  6. [6] F.H. Clarke and R.B. Vinter, On the conditions under which the Euler equation or the maximum principle hold. Appl. Math. Optim.12 (1984), pp. 73-79. Zbl0559.49012MR756513
  7. [7] F.H. Clarke and R.B. Vinter, Regularity properties of solutions to the basic problem in the calculus of variations. Trans. Amer. Math. Soc.289 (1985), pp. 73-98. Zbl0563.49009MR779053
  8. [8] F.H. Clarke and R.B. Vinter, Existence and regularity in the small in the calculus of variations.J. Diff. Equations59 (1985), pp. 336-354. Zbl0727.49003MR807852
  9. [9] L. Tonelli, Sure une méthode directe du calcul des variations. Rend. Circ. Mat. Palermo39(1915), pp. 233-264; also in Opere Scelte (vol. 2), Cremonese, Rome, 1961. Zbl45.0615.02JFM45.0615.02
  10. [10] L. Tonelli, Fondamenti di Calcolo delle Variazioni (2 vols.). Zanichelli, Bologna, 1921, 1923. JFM48.0581.09

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